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1132204210440 = 233541457503551
BaseRepresentation
bin10000011110011100101…
…000010011100100001000
311000020102020222011101120
4100132130220103210020
5122022223234213230
62224043305315240
7144541034666622
oct20363450234410
94006366864346
101132204210440
113a718a83aa46
12163518a95b20
13829c6a172b4
143cb28567c12
151e6b7d79310
hex1079ca13908

1132204210440 has 128 divisors (see below), whose sum is σ = 3487077457920. Its totient is φ = 293912064000.

The previous prime is 1132204210439. The next prime is 1132204210451. The reversal of 1132204210440 is 440124022311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1132204210440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996665 + ... + 2500215.

It is an arithmetic number, because the mean of its divisors is an integer number (27242792640).

Almost surely, 21132204210440 is an apocalyptic number.

1132204210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132204210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743538728960).

1132204210440 is an abundant number, since it is smaller than the sum of its proper divisors (2354873247480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132204210440 is a wasteful number, since it uses less digits than its factorization.

1132204210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504063 (or 504059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1132204210440 its reverse (440124022311), we get a palindrome (1572328232751).

The spelling of 1132204210440 in words is "one trillion, one hundred thirty-two billion, two hundred four million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 457 492 615 820 914 984 1230 1371 1640 1828 2285 2460 2742 3656 4570 4920 5484 6855 9140 10968 13710 18280 18737 27420 37474 54840 56211 74948 93685 112422 149896 187370 224844 281055 374740 449688 503551 562110 749480 1007102 1124220 1510653 2014204 2248440 2517755 3021306 4028408 5035510 6042612 7553265 10071020 12085224 15106530 20142040 20645591 30213060 41291182 60426120 61936773 82582364 103227955 123873546 165164728 206455910 230122807 247747092 309683865 412911820 460245614 495494184 619367730 690368421 825823640 920491228 1150614035 1238735460 1380736842 1840982456 2301228070 2477470920 2761473684 3451842105 4602456140 5522947368 6903684210 9204912280 9435035087 13807368420 18870070174 27614736840 28305105261 37740140348 47175175435 56610210522 75480280696 94350350870 113220421044 141525526305 188700701740 226440842088 283051052610 377401403480 566102105220 1132204210440